Finding the Fourth Proportional to 205,893.16, 284,137.37 and 115,246.87
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Solution
The fourth proportional to 205,893.16, 284,137.37 and 115,246.87 is: 159,043.37
Step by Step Solution
- Step 1: Write the proportion equation
205,893.16 : 284,137.37 = 115,246.87 : x - Step 2: Convert to fraction form
205,893.16/284,137.37 = 115,246.87/x - Step 3: Cross multiply
205,893.16x = 284,137.37 × 115,246.87 - Step 4: Simplify right side
205,893.16x = 32,745,941,688.13 - Step 5: Solve for x
x = 32,745,941,688.13/205,893.16 - Step 6: Final answer
x = 159,043.37
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.